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Distribution (Probability theory) --- Group theory. --- Invariant measures. --- Mathematical statistics. --- Measure theory.

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Distribution (Probability theory) --- Group theory. --- Invariant measures. --- Mathematical statistics. --- Measure theory. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics

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Polish spaces (Mathematics) --- Invariant measures. --- Measures, Invariant --- Measure theory --- Groups, Polish (Mathematics) --- Polish groups (Mathematics) --- Polish spaces --- Polish topological spaces --- Spaces, Polish (Mathematics) --- Metric spaces

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This book introduces current perspectives on Rasch measurement theory with an emphasis on developing Rasch-based scales. Rasch measurement theory represents a paradigm shift in measurement theory away from classical test theory and creates a framework for scaling that can yield invariant measurement. Rasch Models for Solving Measurement Problems: Invariant Measurement in the Social Sciences is a broadly accessible text. Authors George Engelhard Jr and Jue Wang introduce Rasch measurement theory step by step, with chapters on scale construction, evaluation, maintenance, and use. Points are illustrated and techniques are demonstrated through an extended example: The Food Insecurity Experience (FIE) Scale. The Rasch analyses in the book are run using the Facets computer program. Facets syntax, and R code for the ERMA program created by the authors to obtain parameter estimates and to examine model-data fit, together with sample data sets are all available on a website for the book.

Quantitative methods in social research --- Mathematical statistics --- Social sciences --- Rasch models. --- Invariant measures. --- Mathematical models. --- Statistical methods. --- #SBIB:303H12 --- #SBIB:303H510 --- Methoden en technieken: sociale wetenschappen --- Methoden sociale wetenschappen: statistische technieken, algemeen --- Social sciences - Mathematical models. --- Social sciences - Statistical methods.

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This book provides researchers with an overview of rating scale analysis along with practical guidance on how to conduct such analyses with their own survey data. Author Stefanie A. Wind presents three categories of methods: Rasch models; non-Rasch Item Response Theory (IRT) models; and non-parametric models, together with practical examples.

Psychometrics --- Invariant measures --- Rasch models --- Psychology --- Social sciences --- Social surveys --- Statistical methods --- Community surveys --- Surveys, Social --- Surveys --- Item response theory --- Measures, Invariant --- Measure theory --- Measurement, Mental --- Measurement, Psychological --- Psychological measurement --- Psychological scaling --- Psychological statistics --- Psychometry (Psychophysics) --- Scaling, Psychological --- Psychological tests --- Scaling (Social sciences) --- Research --- Measurement --- Scaling --- Methodology --- #SBIB:303H10 --- #SBIB:303H32 --- Methoden en technieken: algemene handboeken en reeksen --- Waarneming en participerende waarneming, gecontroleerde observatie, groepsdiscussie (vragenlijsten, interviews, experimenten) --- Mathematical statistics --- Psychometrics. --- Invariant measures. --- Rasch models. --- Social surveys. --- Statistical methods.